Question

For the function f(x)=−3x^3+36x+6

**(a)** Find all intervals where the function is
increasing.

Answer: ff is increasing on=

**(b)** Find all intervals where the function is
decreasing.

Answer: ff is decreasing on=

**(c)** Find all critical points of f(x)

Answer: critical points: x=

**Instructions:**

For parts **(a)** and **(b)**, give your
answer as an interval or a union of intervals, such as**(-infinity,8]** *or* **(1,5) U
(7,10)** *.
For part (c), enter your xx-values as a
comma-separated list, or*

Answer #1

Let f(x)=4+12x−x^3. Find (a) the intervals on which ff is
increasing, (b) the intervals on which ff is decreasing, (c) the
open intervals on which ff is concave up, (d) the open intervals on
which f is concave down, and (e) the x-coordinates of all
inflection points.
(a) f is increasing on the interval(s) =
(b) f is decreasing on the interval(s) =
(c) f is concave up on the open interval(s) =
(d) f is concave down on the...

Find the intervals where f(x) = 2x3 + 3x2
- 36x + 7 is increasing, decreasing, concave up, concave down, and
the inflection points.

given function f(x)=-x^3+5x^2-3x+2
A) Determine the intervals where F(x) Is increasing and
decreasing
b) use your answer from a to determine any relative maxima or
minima of the function
c) Find that intervals where f(x) is concave up and concave
down and any points of inflection

3 parts
following these instructions
Find the critical numbers for f and the open intervals on which
f is increasing (decreasing)
For the first question, your answer should be a comma-separated
list of x values or the word "none". For the other two, your answer
should either be a single interval, such as (0,1), a
comma-separated list of intervals, such as (-inf, 2), (3,4), or the
word "none".
answeres needed for each
1.
The critical numbers for f are
2. ...

If f(x)-x^3-3x;
a) find the intervals on which f is increasing or
decreasing.
b)find the local maximum and minimum values
c)find the intervals of concavity and inflection points
d)use the information above to sketch and graph of f

Suppose that f(x)=x^4-3x^3.
(A) List all the critical values of f(x). Note: If there are no
critical values, enter 'NONE'
(B) Use interval notation to indicate where f(x) is
increasing.
Note: Use 'INF' for ∞, '-INF' for −∞, and use 'U'
for the union symbol.
(C) Use interval notation to indicate where f(x) is
decreasing.
(D) List the xx values of all local maxima of f(x). If there are
no local maxima, enter 'NONE'.
(E) List the xx values of...

Suppose that
f(x)=4x2ln(x),x>0.f(x)=4x2ln(x),x>0.
(A) List all the critical values of f(x)f(x). Note: If there are
no critical values, enter 'NONE'.
(B) Use interval notation to indicate where f(x)f(x) is
increasing.
Note: Use 'INF' for ∞∞, '-INF' for −∞−∞, and use
'U' for the union symbol. If there is no interval, enter
'NONE'.
Increasing:
(C) Use interval notation to indicate where f(x)f(x) is
decreasing.
Decreasing:
(D) List the xx values of all local maxima of f(x)f(x). If there
are no local...

Determine the intervals on which the function f(x) = 3x^5/3 −
15x^2/3 is increasing or decreasing.

find the interval where the function is increasing and
decreasing f(x) =(x-8)^2/3
a) decreasing (8, infinity) increasing (-infinity, 8) local max
f(8)=0
a) decreasing (- infinity, 8) increasing (8, infinity) local max
f(8)=0
a) decreasing (-infinity, infinity) no extrema
a) increasing (-infinity, infinitely) no extrema

For the function below, find a) the open intervals
where the function is increasing b) the open intervals where it is
decreasing, and c) the extreme points.
G(x)=x^10e^x-6

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 25 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago